1. Add an ordered pair to the table so that the representation is NOT a function. Briefly explain why the
1 answer:
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Let's call the length of the rectangular fence and the width of the rectangular fence
.
Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:
Now, let's substitute in the values we are given in the problem:
Now, let's solve the system using substitution.
- Solve for
from the first equation
- Substitute this value into the second equation
- Simplify
- Multiply both sides of the equation by
- Subtract
from both sides of the equation
- Factor
and
- Use the Zero Product Property and solve both factors
We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:
Thus, our answer is Choice C, or 10 feet by 24 feet.